The fuzzy clustering algorithm based on AFS topology

Authors:
Rui Ding;Xiaodong Liu;Yan Chen
Affiliations:
Economics and Management College, Dalian Maritime University, Dalian, P.R. China;Economics and Management College, Dalian Maritime University, Dalian, P.R. China;Economics and Management College, Dalian Maritime University, Dalian, P.R. China
Venue:
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Year:
2006

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Abstract

This paper establishes a new metric space for the clustering problems. The neighbors on the object set induced by the topology molecular lattice on ∗EI algebra are given and a new distance based on the neighbors is proposed. In the proposed clustering algorithm, the Euclidean metric is replaced by the new distance based on the order relationship of the samples on the attributes. As a result, using the method to Iris data we show it has a better result and clearer classification than the other clustering algorithm based on the Euclidean metric. This study shows that the AFS topology fuzzy clustering algorithm can obtain an high clustering accuracy according to order relationship.